874008 has 48 divisors (see below), whose sum is σ = 2418000. Its totient is φ = 285120.

The previous prime is 874001. The next prime is 874009. The reversal of 874008 is 800478.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874001) by changing a digit.

874008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4293 + ... + 4491.

It is an arithmetic number, because the mean of its divisors is an integer number (50375).

2⁸⁷⁴⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 874008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209000).

874008 is an abundant number, since it is smaller than the sum of its proper divisors (1543992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

874008 is a wasteful number, since it uses less digits than its factorization.

874008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 874008 is about 934.8839500173. The cubic root of 874008 is about 95.6104001804.

It can be divided in two parts, 87 and 4008, that added together give a triangular number (4095 = T₉₀).

The spelling of 874008 in words is "eight hundred seventy-four thousand, eight".